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Finding the Fourth Proportional to 4,698.65, 6,481.28 and 3,105.31

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Solution

The fourth proportional to 4,698.65, 6,481.28 and 3,105.31 is: 4,283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.65 : 6,481.28 = 3,105.31 : x
  2. Step 2: Convert to fraction form
    4,698.65/6,481.28 = 3,105.31/x
  3. Step 3: Cross multiply
    4,698.65x = 6,481.28 × 3,105.31
  4. Step 4: Simplify right side
    4,698.65x = 20,126,375.16
  5. Step 5: Solve for x
    x = 20,126,375.16/4,698.65
  6. Step 6: Final answer
    x = 4,283.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.